Question
The graph of f”, the second derivative of the function f, is shown above. Which of the following could be the graph of f ?
A 
B 
C 
D 
Answer/Explanation
Question
The graph of has a point of inflection at
(A) (0,0 ) only (B) (3,162) only (C) ( 4, 256) only (D) (0,0) and (3,162 ) (E) (0,0) and (4, 256 )
Answer/Explanation
Ans:B
Question
If the graph of \(y=x^{3}+ax^{2}+bx-4\) has a point of inflection at (1, -6 ), what is the value of b?
(A) –3 (B) 0 (C) 1 (D) 3 (E) It cannot be determined from the information given.
Answer/Explanation
Ans:B
\(y'(x) = 3x^2 +2ax+b, y”(x)=6x+2a, y′′(1)=0⇒ a = −3\)
Question
A force of 10 pounds is required to stretch a spring 4 inches beyond its natural length. Assuming Hooke’s law applies, how much work is done in stretching the spring from its natural length to 6
inches beyond its natural length?
(A) 60.0 inch-pounds
(B) 45.0 inch-pounds
(C) 40.0 inch-pounds
(D) 15.0 inch-pounds
(E) 7.2 inch-pounds
Answer/Explanation
Ans:B
